dcs23
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Hi Guys,
I know that the compressible Euler Equations are:
\partial_t (\rho \mathbf u) + (\mathbf u \cdot \nabla)(\rho \mathbf u) + \nabla p = 0
\partial_t \rho + \nabla \cdot (\rho \mathbf u) = 0
Subject to suitable initial conditions and solving for \mathbf u, \; \rho unknown.
Does anybody have an example of a pair of functions which satisfies these relations in a non-1D case?
I know that the compressible Euler Equations are:
\partial_t (\rho \mathbf u) + (\mathbf u \cdot \nabla)(\rho \mathbf u) + \nabla p = 0
\partial_t \rho + \nabla \cdot (\rho \mathbf u) = 0
Subject to suitable initial conditions and solving for \mathbf u, \; \rho unknown.
Does anybody have an example of a pair of functions which satisfies these relations in a non-1D case?